A government organization is examining the effectiveness of a program intended to shorten security lines at airports for "trusted travelers". For comparison purposes, a sample was obtained of the time in seconds it took passengers not on the program to pass through security at a certain international airport. The accompanying data contain the results. Complete parts a through c below, E Click the icon to view the security time data. a. Calculate the sample mean and the sample standard deviation for this sample of passenger times. The sample mean is seconds. (Round to two decimal places as needed.) The sample standard deviation is seconds. (Round to two decimal places as needed.) b. Assume that the distribution of time required to pass through security at this airport is normally distributed. Use the sample data to construct a 90% confidence interval estimate for the average time required to pass through security. The 90% confidence interval is seconds- seconds. (Round to two decimal places as needed.) O Security Time Data c. What is the margin of error for the confidence interval constructed in part b? e = + seconds (Round to two decimal places as needed.) 366 220 147 164 207 382 192 329 228 208 176 244 284 363 243 372 150 186 286 234 355 388 354 230 144 254 263 302 319 236 124 223 285 302 191 144 176 138 308 248 223 225 409 218 185 312 367 357 295 400 263 239 Enter your answer in each of the answer boxes. 193 309 311 243 292 37 427 373 215 211 329 241 151 241 229 229
A government organization is examining the effectiveness of a program intended to shorten security lines at airports for "trusted travelers". For comparison purposes, a sample was obtained of the time in seconds it took passengers not on the program to pass through security at a certain international airport. The accompanying data contain the results. Complete parts a through c below, E Click the icon to view the security time data. a. Calculate the sample mean and the sample standard deviation for this sample of passenger times. The sample mean is seconds. (Round to two decimal places as needed.) The sample standard deviation is seconds. (Round to two decimal places as needed.) b. Assume that the distribution of time required to pass through security at this airport is normally distributed. Use the sample data to construct a 90% confidence interval estimate for the average time required to pass through security. The 90% confidence interval is seconds- seconds. (Round to two decimal places as needed.) O Security Time Data c. What is the margin of error for the confidence interval constructed in part b? e = + seconds (Round to two decimal places as needed.) 366 220 147 164 207 382 192 329 228 208 176 244 284 363 243 372 150 186 286 234 355 388 354 230 144 254 263 302 319 236 124 223 285 302 191 144 176 138 308 248 223 225 409 218 185 312 367 357 295 400 263 239 Enter your answer in each of the answer boxes. 193 309 311 243 292 37 427 373 215 211 329 241 151 241 229 229
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Z-Scores
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Transcribed Image Text:A government organization is examining the effectiveness of a program intended to shorten security lines at airports for "trusted travelers". For comparison purposes, a sample was obtained of the time in seconds it took passengers not on the
program to pass through security at a certain international airport. The accompanying data contain the results. Complete parts a through c below.
Click the icon to view the security time data.
a. Calculate the sample mean and the sample standard deviation for this sample of passenger times.
The sample mean is
seconds.
(Round to two decimal places as needed.)
The sample standard deviation is seconds.
(Round to two decimal places as needed.)
b. Assume that the distribution of time required to pass through security at this airport is normally distributed. Use the sample data to construct a 90% confidence interval estimate for the average time required to pass through security.
The 90% confidence interval is
seconds-
-seconds.
Security Time Data
(Round to two decimal places as needed.)
c. What is the margin of error for the confidence interval constructed in part b?
e = +
seconds
(Round to two decimal places as needed.)
366
220
147
164
207
382
192
329
228
208
176
244
284
363
243
372
150
186
286
234
355
388
354
230
144
254
263
302
319
236
124
223
285
302
191
144
176
138
308
248
223
225
409
218
185
312
367
357
295
400
263
239
193
309
311
243
Enter your answer in each of the answer boxes.
292
37
427
373
215
211
329
241
151
241
229
229
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